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Finding the Fourth Proportional to 2,440.93, 3,660.14 and 796.42

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Solution

The fourth proportional to 2,440.93, 3,660.14 and 796.42 is: 1,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.93 : 3,660.14 = 796.42 : x
  2. Step 2: Convert to fraction form
    2,440.93/3,660.14 = 796.42/x
  3. Step 3: Cross multiply
    2,440.93x = 3,660.14 × 796.42
  4. Step 4: Simplify right side
    2,440.93x = 2,914,990.40
  5. Step 5: Solve for x
    x = 2,914,990.40/2,440.93
  6. Step 6: Final answer
    x = 1,194.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.